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128                                 Hybrid-Renewable Energy Systems in Microgrids

         are used to derive the equations. Given Eqs. (7.41) and (7.42), they can be rewritten in
         terms of sequence power as:

                  P +  P −     P +  P −
             I  =    +     I ,  =  −                                    (7.46)
 IpL=P+v++P−v−,IpS=P+v+−P−v−  pL  v +  v −  pS  v +  v −

                  Q +  Q −     Q +  Q −
             I  =    +     I ,  =  −                                    (7.47)
 IqL=Q+v⊥++Q−v⊥−,IqS=Q+v⊥+−Q−v⊥−  qL  +  −  qS  +  −
                  v ⊥  v ⊥      v ⊥  v ⊥

















































         Figure 7.6  Short-circuit response of VSI with flexible positive- and negative-sequence
         power control (current limited). (A) k p  = 1, k q  = 1. (B) k p  = 0.5, k q  = 1. (C) k p  = 0, k q  = 1.
         (Voltage: V; Current: A; Power: kW/kvar).
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